Answer:
The correct answer is: Option D) 5
Step-by-step explanation:
Given equation is:
[tex]3(x + 2) + x = 2x + 16[/tex]
In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.
Putting x = 2
[tex]3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20[/tex]
Putting x = 3
[tex]3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22[/tex]
Putting x=4
[tex]3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24[/tex]
Putting x = 5
[tex]3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26[/tex]
The equation is true for x = 5
Hence,
The correct answer is: Option D) 5
